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Simplifying 0 = G2 + -17G + 70 Reorder the terms: 0 = 70 + -17G + G2 Solving 0 = 70 + -17G + G2 Solving for variable 'G'. Combine like terms: 0 + -70 = -70 -70 + 17G + -1G2 = 70 + -17G + G2 + -70 + 17G + -1G2 Reorder the terms: -70 + 17G + -1G2 = 70 + -70 + -17G + 17G + G2 + -1G2 Combine like terms: 70 + -70 = 0 -70 + 17G + -1G2 = 0 + -17G + 17G + G2 + -1G2 -70 + 17G + -1G2 = -17G + 17G + G2 + -1G2 Combine like terms: -17G + 17G = 0 -70 + 17G + -1G2 = 0 + G2 + -1G2 -70 + 17G + -1G2 = G2 + -1G2 Combine like terms: G2 + -1G2 = 0 -70 + 17G + -1G2 = 0 Factor a trinomial. (-10 + G)(7 + -1G) = 0Subproblem 1
Set the factor '(-10 + G)' equal to zero and attempt to solve: Simplifying -10 + G = 0 Solving -10 + G = 0 Move all terms containing G to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + G = 0 + 10 Combine like terms: -10 + 10 = 0 0 + G = 0 + 10 G = 0 + 10 Combine like terms: 0 + 10 = 10 G = 10 Simplifying G = 10Subproblem 2
Set the factor '(7 + -1G)' equal to zero and attempt to solve: Simplifying 7 + -1G = 0 Solving 7 + -1G = 0 Move all terms containing G to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1G = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1G = 0 + -7 -1G = 0 + -7 Combine like terms: 0 + -7 = -7 -1G = -7 Divide each side by '-1'. G = 7 Simplifying G = 7Solution
G = {10, 7}
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